A sequence space representation of L. Schwartz%26apos; space O-C

作者：Bargetz Christian^*

来源：Archiv der Mathematik, 2012, 98(4): 317-326.

DOI：10.1007/s00013-012-0373-3

• Sequence spaces
• Topological tensor products
• Projective limit
• Inductive limit

We derive a representation of the isomorphic spaces O-C of very slowly increasing functions and O-M%26apos; of very rapidly decreasing distributions as a completed topological tensor product of sequence spaces. In order to describe this completed topological tensor product as a space of double sequences, we construct a representation as an inductive limit of vector valued sequence spaces. Moreover we compare the representations of O-C and O-M.

• 出版日期2012-4